Why did you not wear gloves? When I did dishwashing at Mc Donald's I wore gloves they worked fine. Maybe my stint was shorter at only a year, but I'm pretty sure McDonalds is using plenty hard chemicals too.
For reference on my stupidity, around the same time I mixed chlorine bleach and hydrogen peroxide to make a stronger cleaning agent and independently discovered that chlorine gas is really nasty stuff! Wow -- only did that once!
It wasn't all bad. Several times I got to fill a 2'x2'x3' bin with strawberries after cutting off the bad bits, and ate several pounds of them each time. For non-Americans, that's around 40 kilos, but as an American I don't know much about the metric system, so that might be a few grams off :)
We had a dishwasher but I wasn’t allowed to use it. Too loud.